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Finding the Fourth Proportional to 8,470.86, 12,708.30 and 3,537.74

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Solution

The fourth proportional to 8,470.86, 12,708.30 and 3,537.74 is: 5,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.86 : 12,708.30 = 3,537.74 : x
  2. Step 2: Convert to fraction form
    8,470.86/12,708.30 = 3,537.74/x
  3. Step 3: Cross multiply
    8,470.86x = 12,708.30 × 3,537.74
  4. Step 4: Simplify right side
    8,470.86x = 44,958,661.24
  5. Step 5: Solve for x
    x = 44,958,661.24/8,470.86
  6. Step 6: Final answer
    x = 5,307.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.